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[tex]4(2x-y)=4\cdot2x-4\cdot y=\boxed{8x-4y}\\\\-3(x+6y)=-3\cdot x-3\cdot6y=\boxed{-3x-18y}\\\\x(4x-4)=x\cdot4x-x\cdot4=\boxed{4x^2-4x}\\\\-m(7+m)=-m\cdot7-m\cdot m=\boxed{-m^2-7m}\\\\y(-2y+6)=y\cdot(-2y)+y\cdot6=\boxed{-2y^2+6y}[/tex]